Finding the Third Proportional to 345,924 and 757,456

Step by Step Solution

1. Step 1: Write the proportion equation
   345,924 : 757,456 = 757,456 : x
2. Step 2: Convert to fraction form
   345,924/757,456 = 757,456/x
3. Step 3: Cross multiply
   345,924x = 757,456 × 757,456
4. Step 4: Simplify right side
   345,924x = 573,739,591,936
5. Step 5: Solve for x
   x = 573,739,591,936/345,924
6. Step 6: Final answer
   x = 1,658,571.22